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Finding the Fourth Proportional to 523.62, 722.60 and 313.81

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Solution

The fourth proportional to 523.62, 722.60 and 313.81 is: 433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.62 : 722.60 = 313.81 : x
  2. Step 2: Convert to fraction form
    523.62/722.60 = 313.81/x
  3. Step 3: Cross multiply
    523.62x = 722.60 × 313.81
  4. Step 4: Simplify right side
    523.62x = 226,759.11
  5. Step 5: Solve for x
    x = 226,759.11/523.62
  6. Step 6: Final answer
    x = 433.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.